The aftermath of supernova ( SN ) 1987A continues to provide spectacular insights into the interaction between a SN blastwave and its circumstellar environment . We here present 36 GHz observations from the Australia Telescope Compact Array of the radio remnant of SN 1987A . These new images , taken in 2008 Apr and 2008 Oct , substantially extend the frequency range of an ongoing monitoring and imaging program conducted between 1.4 and 20 GHz . Our 36.2 GHz images have a diffraction-limited angular resolution of 0 \hbox { $ . ^ { \prime \prime } $ } 3 - 0 \hbox { $ . ^ { \prime \prime } $ } 4 , which covers the gap between high resolution , low dynamic range VLBI images of the remnant and low resolution , high dynamic range images at frequencies between 1 and 20 GHz . The radio morphology of the remnant at 36 GHz is an elliptical ring with enhanced emission on the eastern and western sides , similar to that seen previously at lower frequencies . Model fits to the data in the Fourier domain show that the emitting region is consistent with a thick inclined torus of mean radius 0 \farcs 85 , and a 2008 Oct flux density of 27 \pm 6 mJy at 36.2 GHz . The spectral index for the remnant at this epoch , determined between 1.4 GHz and 36.2 GHz , is \alpha = -0.83 . There is tentative evidence for an unresolved central source with flatter spectral index .